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Finding the Fourth Proportional to 1,006.29, 1,508.90 and 312.66

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Solution

The fourth proportional to 1,006.29, 1,508.90 and 312.66 is: 468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.29 : 1,508.90 = 312.66 : x
  2. Step 2: Convert to fraction form
    1,006.29/1,508.90 = 312.66/x
  3. Step 3: Cross multiply
    1,006.29x = 1,508.90 × 312.66
  4. Step 4: Simplify right side
    1,006.29x = 471,771.11
  5. Step 5: Solve for x
    x = 471,771.11/1,006.29
  6. Step 6: Final answer
    x = 468.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.